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Maximum Air Suction Into a Louvered Funnel Through Optimum Design

机译:通过最佳设计将最大的空气吸入百叶窗漏斗

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The rate of air suction into a louvered cylindrical funnel with lateral openings has been computed numericalry by solving the equations of conservation of mass, momentum, and energy along With the two κ-ε turbulence closure equations. It was found that the air suction rate into a louvered funnel can be maximum for an optimum nozzle protrusion length into the funnel irrespective of the nozzle fluid temperature. There also exists an optimum funnel diameter (irrespective of the nozzle fluid temperature) and funnel height for which the air suction rate can be the maximum. Keeping the volume of the funnel constant, the shape of the funnel was changed to a frustum. It was found that an inverted frustum with a value of r_1/r_2 = 0.8 could suck the maximum amount of air compared to a cylindrical funnel of the same volume. The cylindrical sucking funnel has interestingly a much shorter entrance length compared to a simple pipe flow case with the same entrance Reynolds number. The entrance length for the sucking funnel is also a function of the nozzle fluid temperature, and a simple relation for the entrance length as a function of Re_n and T_n/T_∞ could also be developed for a sucking funnel. Numerical experiments were done for an inclined funnel to compute the mass suction into it. It was found that for Gr/Re~2≤0.4 (where Gr is the Grashof number and Re is the Reynolds number) given by the funnel inclination had no effect on the rate of mass suction while for 0.4 < Gr/Re~2< 1 the funnel inclination had marginal influence. As the value of GrIRe~2 increased beyond 1 the influence of the funnel inclination on rate of mass suction was found to be significant.
机译:通过求解质量,动量和能量守恒方程以及两个κ-ε湍流闭合方程,已计算出了带有侧向开口的百叶窗式漏斗的空气吸入率。已经发现,对于进入喷嘴的最佳喷嘴伸出长度,与喷嘴流体温度无关,进入百叶窗漏斗的空气吸入速率可以最大。还有一个最佳的漏斗直径(与喷嘴流体温度无关)和漏斗高度,可以使吸气率最大。保持漏斗的体积不变,将漏斗的形状更改为平截头锥体。已经发现,与相同体积的圆柱形漏斗相比,r_1 / r_2 = 0.8的倒截头圆锥体可以吸入最大的空气量。有趣的是,与具有相同雷诺数入口的简单管道流箱相比,圆柱形吸液漏斗的入口长度短得多。吸液漏斗的入口长度也是喷嘴流体温度的函数,吸液漏斗的入口长度与Re_n和T_n /T_∞的函数关系也很简单。对倾斜漏斗进行了数值实验,以计算向其中的吸力。发现漏斗倾角给出的对于Gr / Re〜2≤0.4(其中Gr是格拉斯霍夫数,Re是雷诺数)对吸力速率没有影响,而对于0.4

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